Electronic Resource
Springer
Communications in mathematical physics
121 (1989), S. 225-254
ISSN:
1432-0916
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
Abstract The theory of period doublings for one-parameter families of iterated real mappings is generalized to periodn-tuplings for complex mappings. Ann-tupling occurs when the eigenvalue of a stable periodic orbit passes through the value ω=exp(2πim/n) as the parameter value is changed. Each choice ofm defines a different sequence ofn-tuplings, for which we construct a periodn-tupling renormalization operator with a universal fixpoint function, a universal unstable manifold and universal scaling numbers. These scaling numbers can be organized by Farey trees. The present paper gives a general description and numerical support for the universality conjectured above.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01217804
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